3608728776576 has 2304 divisors, whose sum is σ = 15006670848000. Its totient is φ = 805419417600.

The previous prime is 3608728776571. The next prime is 3608728776589. The reversal of 3608728776576 is 6756778278063.

3608728776576 is a `hidden beast` number, since 3 + 608 + 7 + 2 + 8 + 7 + 7 + 6 + 5 + 7 + 6 = 666.

3608728776576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3608728776571) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15099283465 + ... + 15099283703.

It is an arithmetic number, because the mean of its divisors is an integer number (6513312000).

Almost surely, 2^{3608728776576} is an apocalyptic number.

3608728776576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3608728776576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503335424000).

3608728776576 is an abundant number, since it is smaller than the sum of its proper divisors (11397942071424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3608728776576 is a wasteful number, since it uses less digits than its factorization.

3608728776576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 3608728776576 in words is "three trillion, six hundred eight billion, seven hundred twenty-eight million, seven hundred seventy-six thousand, five hundred seventy-six".